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Finding the Fourth Proportional to 25,521.65, 38,282.49 and 9,723.00

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Solution

The fourth proportional to 25,521.65, 38,282.49 and 9,723.00 is: 14,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,521.65 : 38,282.49 = 9,723.00 : x
  2. Step 2: Convert to fraction form
    25,521.65/38,282.49 = 9,723.00/x
  3. Step 3: Cross multiply
    25,521.65x = 38,282.49 × 9,723.00
  4. Step 4: Simplify right side
    25,521.65x = 372,220,793.83
  5. Step 5: Solve for x
    x = 372,220,793.83/25,521.65
  6. Step 6: Final answer
    x = 14,584.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.